This strategy is used to break numbers up so that they can be divided easier and quicker in your head. We will work through an example remember that "/" means to divide.
First we look at the number we are dividing by and we ask ourselves "Are there any multiples of this number in the number being divided?"
When you look at 45 819 you should see that there is 45, 81, and 9, which are multiples of 9, therefore we could break the number into parts, and divide each of the parts by 9 notice that the parts also show their true value.
45 000 / 9 is 5 000
810 / 9 is 90 --> (Remember that we can drop the zeros when we are dividing and then bring them back in our answer)
9 / 9 is 1
When we have divided all the parts we put our answers together to find the quotient.
5 000 + 90 + 1 is 5 091
The most important thing to remember for this strategy is what you are dividing, so that you are writing the answer down in the correct place value.
Dividing in Parts
This strategy is used to break numbers up so that they can be divided easier and quicker in your head. We will work through an example remember that "/" means to divide.
45 819 / 9 --> Forty-five thousand eight hundred nineteen divided by 9
First we look at the number we are dividing by and we ask ourselves "Are there any multiples of this number in the number being divided?"
When you look at 45 819 you should see that there is 45, 81, and 9, which are multiples of 9, therefore we could break the number into parts, and divide each of the parts by 9 notice that the parts also show their true value.
45 000 / 9 is 5 000
810 / 9 is 90 --> (Remember that we can drop the zeros when we are dividing and then bring them back in our answer)
9 / 9 is 1
When we have divided all the parts we put our answers together to find the quotient.
5 000 + 90 + 1 is 5 091
The most important thing to remember for this strategy is what you are dividing, so that you are writing the answer down in the correct place value.